The point of the story of Adam & Eve is to tell you some very important things.
The serpent is included just so God can curse a creature that pagans revered
Eve is created. No other ancient near-eastern creation-story featured the creation of Woman. Woman has inherent worth.
The story's riddle is that, given the chance to be innocent, immortal, and fully taken cared of, would we as a species rather remain in Eden, as the most highly intelligent animal amongst God's creation, or would we as a species, rather opt out of this for the full awareness that comes with shedding one's innocence, even if meant losing our mortality, and the full offerings, and protections, of God. And the bible believes that we would as a species would opt out, and to fully be human. The ramifications of that choice is that our nature is ill-equipped for such a choice... given how rotten we are to each other... and to strike home the biblical message that we have to live in the now, not romanticize about Eden, and that Eden(Utopia) can never fully be had, in this lifetime. The messages are too many to cite. It talks about sex, male-female relations, God's idealic view, man's nature, our relationship to animals and the environment, inequality amongst the sexes, and many many other things.